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Finding the Fourth Proportional to 27,647.84, 41,449.04 and 11,000.72

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Solution

The fourth proportional to 27,647.84, 41,449.04 and 11,000.72 is: 16,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.84 : 41,449.04 = 11,000.72 : x
  2. Step 2: Convert to fraction form
    27,647.84/41,449.04 = 11,000.72/x
  3. Step 3: Cross multiply
    27,647.84x = 41,449.04 × 11,000.72
  4. Step 4: Simplify right side
    27,647.84x = 455,969,283.31
  5. Step 5: Solve for x
    x = 455,969,283.31/27,647.84
  6. Step 6: Final answer
    x = 16,492.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.